SOLUTION: A box contains 6 ​letters, shown as TRACED. What is the probability of the outcome RACED in that order if 5 letters are drawn one by one​ (a) with​ replacement? (b) withoutâ€

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains 6 ​letters, shown as TRACED. What is the probability of the outcome RACED in that order if 5 letters are drawn one by one​ (a) with​ replacement? (b) without†     Log On


   

Question 1138442: A box contains 6 ​letters, shown as TRACED. What is the probability of the outcome RACED in that order if 5 letters are drawn one by one​ (a) with​ replacement? (b) without​ replacement?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  %281%2F6%29%2A%281%2F6%29%2A%281%2F6%29%2A%281%2F6%29%2A%281%2F6%29 = %281%2F6%29%5E5 = 1%2F6%5E5,


     since at each of the 5 drawings the probability to get the needed letter is 1%2F6.



(b)  %281%2F6%29%2A%281%2F5%29%2A%281%2F4%29%2A%281%2F3%29%2A%281%2F2%29,  or simply  1%2F6%21,


     since there is only one way to get the right configuration of 5 different symbols from 6 given different symbols.

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